Subject

    Quantitative Aptitude

    Topic

    Time and Work

    Rita can complete a piece of work in 16 days.Mita can complete the same piece of work in 8 days.If both of them work together in how many days can they complete the same piece of work?

    ক)
    4(2/5)
    খ)
    5(1/3)
    গ)
    6
    ঘ)
    12

    Explanation

    (রিতা একটি কাজ ১৬ দিনে করতে পারে।মিতা একই কাজ ৮ দিনে করতে পারে।তারা একত্রে একই কাজ কয়দিনে করতে পারবে? রিতা ১৬ দিনে সম্পন্ন করে =১ অংশ কাজ রিতা ১ দিনে সম্পন্ন করে=১/১৬ অংশ কাজ মিতা ৮ দিনে সম্পন্ন করে =১ অংশ কাজ মিতা ১ দিনে সম্পন্ন করে =১/৮ অংশ কাজ এখন (রিতা+মিতা) ১ দিনের কাজ =(১/১৬) + (১/৮) =(১+২)/১৬ =৩/১৬ অংশ তারা উভয়ে এক সাথে ৩/১৬ অংশ কাজ সম্পন্ন করে=১ দিনে তারা উভয়ে এক সাথে ১ অংশ কাজ সম্পন্ন করে =১৬/৩= ৫(১/৩) দিনে
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